Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−1/2,1/2)
Equation Form:
x=−1/2,y=1/2
Step-by-step explanation:
Answer:
FG = 19
Step-by-step explanation:
The two sides of the triangle are equal since JG is a perpendicular bisector
FG = HG
5x-6 = 3x+4
Subtract 3x from each side
5x-3x -6 = 3x+4-3x
2x-6 =4
Add 6 to each side
2x-6+6 =4+6
2x = 10
Divide by 2
2x/2 = 10/2
x =5
We want to find FG
FG = 5x-6
FG = 5(5)-6
= 25-6
= 19
Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.
slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.
so ur answer is : k = 5
